| Base | Representation |
|---|---|
| bin | 110000010110101… |
| … | …111101000100000 |
| 3 | 2002112112201100200 |
| 4 | 300112233220200 |
| 5 | 3130141044030 |
| 6 | 212300145200 |
| 7 | 26050445460 |
| oct | 6026575040 |
| 9 | 2075481320 |
| 10 | 811268640 |
| 11 | 386a38156 |
| 12 | 1a7838200 |
| 13 | cc0ca020 |
| 14 | 79a5dba0 |
| 15 | 4b350d60 |
| hex | 305afa20 |
811268640 has 576 divisors, whose sum is σ = 3513549312. Its totient is φ = 165888000.
The previous prime is 811268621. The next prime is 811268651. The reversal of 811268640 is 46862118.
811268640 is a `hidden beast` number, since 8 + 1 + 1 + 2 + 6 + 8 + 640 = 666.
It is a super-3 number, since 3×8112686403 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 811268595 and 811268604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5372565 + ... + 5372715.
It is an arithmetic number, because the mean of its divisors is an integer number (6099912).
Almost surely, 2811268640 is an apocalyptic number.
811268640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 811268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756774656).
811268640 is an abundant number, since it is smaller than the sum of its proper divisors (2702280672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
811268640 is a wasteful number, since it uses less digits than its factorization.
811268640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The square root of 811268640 is about 28482.7779544061. Note that the first 3 decimals coincide. The cubic root of 811268640 is about 932.6561595936.
The spelling of 811268640 in words is "eight hundred eleven million, two hundred sixty-eight thousand, six hundred forty".
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